An open-top box is to be made by cutting congruent squares from the corners of a 15cm x 15 cm sheet of metal by bending up the sides a) what equation relates the side length z of the removed squares and the volume v of the box?
b) determine the region of feasibility for x. show all algebra for the solution
c) compute a formula for dV/dx
d) find all critical points for the curve V. show all algebra for the solution
e) find the maximum volume a box constructed in this way can have, as well as the dimensions that achieve that volume. show all substitutions for the solution. do not approximate your value

where is the graph, sweetheart?

step-by-step explanation:

the area of a triangle is determined by the formula: base x height * 1/2

you'll need to assign a base to the triangle. based on the vertices given, the simplest base would be the line segment from (-2,1) to (2,1). the distance between any two numbers is found by just subtracting them. here, you should subtract the x values to find the distance of this side.

2 - (-2) = 4.

so the distance (aka the length of the base) is 4. the height of the triangle is the distance between the base and the highest point on the triangle which is (3,4). we should subtract the y values this time to find the height/distance.

4 - 1 = 3

so the height is 3.

base = 4

height = 3

hope this if needed hmu

y-y1=m(x-x1)

y-1=1(x-8)